Christopher Lutsko

activity

20192026

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math.DS2026

Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers

Christopher Lutsko, Jens Marklof

We determine the Boltzmann--Grad limit of the Ehrenfest ``wind-tree'' model with a periodic configuration of polyhedral scatterers. The central result is a loss-of-memory effect in…

math.NT2026

Poissonian pair correlations for the three-particle Sutherland model

Christopher Lutsko

We prove a Berry-Tabor theorem for the repulsive three-particle trigonometric Sutherland Hamiltonian. For fixed total momentum, its relative spectrum is an affine translate of the…

math.SP2026

Improved sup-norm bounds for locally symmetric spaces

Christopher Lutsko

Let $X = G / K$ be a symmetric space of noncompact type, of dimension $n$ and rank $r$ , and let $Y = Γ\ X$ . Sarnak's local bound for an $L^{2}$ -normalized spherical joint eigenfun…

math.SP2026

Exceptional eigenvalue density for thin groups

Christopher Lutsko

We prove a limit multiplicity conjecture of Hee Oh for principal congruence covers of geometrically finite hyperbolic manifolds, with an explicit power-saving rate. The rate is gov…

math.NT2026

Poissonian correlations of $α n^{d}$ mod $1$

Chris Lutsko, Nick Rome, Niclas Technau

Let $x (n) := α n^{d} mod 1$ for integer $d > 1$ and non-zero real $α$ . We show that ${x (n)}_{n > 0}$ has Poissonian $ℓ$ -point correlations for almost all choices of $α$ when $d$ is l…

Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers

Poissonian pair correlations for the three-particle Sutherland model

Improved sup-norm bounds for locally symmetric spaces

Exceptional eigenvalue density for thin groups

Poissonian correlations of αnd mod 1

Poissonian correlations of $α n^{d}$ mod $1$